5(3t+1)-14=t-(t-8)

Solution for 5(3t+1)-14=t-(t-8) equation:

Simplifying
5(3t + 1) + -14 = t + -1(t + -8)

Reorder the terms:
5(1 + 3t) + -14 = t + -1(t + -8)
(1 * 5 + 3t * 5) + -14 = t + -1(t + -8)
(5 + 15t) + -14 = t + -1(t + -8)

Reorder the terms:
5 + -14 + 15t = t + -1(t + -8)

Combine like terms: 5 + -14 = -9
-9 + 15t = t + -1(t + -8)

Reorder the terms:
-9 + 15t = t + -1(-8 + t)
-9 + 15t = t + (-8 * -1 + t * -1)
-9 + 15t = t + (8 + -1t)

Reorder the terms:
-9 + 15t = 8 + t + -1t

Combine like terms: t + -1t = 0
-9 + 15t = 8 + 0
-9 + 15t = 8

Solving
-9 + 15t = 8

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 15t = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 15t = 8 + 9
15t = 8 + 9

Combine like terms: 8 + 9 = 17
15t = 17

Divide each side by '15'.
t = 1.133333333

Simplifying
t = 1.133333333